An improved r ‐factor algorithm for total variational diminishing (TVD) schemes on two‐dimension non‐uniform unstructured grids

2020 ◽  
Author(s):  
Jie Li ◽  
Quan Zhang ◽  
Zhi‐Qiang( John) Zhai ◽  
Xiaoqin Sun ◽  
Shuguang Liao
Keyword(s):  
Unstructured Grids ◽  
Tvd Schemes ◽  
Two Dimension ◽  
R Factor

scholarly journals TVD schemes for unstructured grids

2003 ◽  
Vol 46 (4) ◽  
pp. 599-611 ◽  
Author(s):  
M.S. Darwish ◽  
F. Moukalled
Keyword(s):  
Unstructured Grids ◽  
Tvd Schemes

Finite Volume Solution of the Radiative Transfer Equation Using NVD and TVD Schemes in Unstructured Grids

2013 ◽  
Author(s):  
P. J. Coelho
Keyword(s):  
Radiative Transfer ◽  
Transfer Equation ◽  
Numerical Solutions ◽  
Stokes Equations ◽  
Unstructured Grids ◽  
Radiative Transfer Equation ◽  
Navier Stokes ◽  
Cartesian Grids ◽  
Tvd Schemes ◽  
Navier Stokes Equations

Discretization schemes based on the normalized variable diagram (NVD) and total variation diminishing (TVD) schemes are applied to the solution of the radiative transfer equation (RTE) in unstructured grids. The success of the application of these schemes to Cartesian grids has been previously demonstrated. However, their extension to unstructured grids is not straightforward. A few methods to overcome this difficulty have been proposed, and successfully applied to the solution of a scalar transport equation and to the Navier-Stokes equations. These methods are applied here to the solution of the RTE, along with a new one, recently proposed, for several test cases in which the analytical solution or other reliable numerical solutions are available for comparison. The results demonstrate that although the NVD and TVD schemes are much more accurate than the step and mean flux interpolation schemes, their order of accuracy in the case of unstructured grids is lower than in Cartesian grids. Moreover, in contrast to Cartesian grids, the NVD and TVD schemes are not strictly bounded in unstructured grids, and unphysical solutions may occur. The alternative method proposed to implement the NVD and TVD schemes is generally more accurate than previous ones, but also computationally more demanding.

An improved r-factor algorithm for TVD schemes

2008 ◽  
Vol 51 (3-4) ◽  
pp. 610-617 ◽  
Author(s):  
Lian-xia Li ◽  
Hua-sheng Liao ◽  
Li-jian Qi
Keyword(s):  
Tvd Schemes ◽  
R Factor

On the Computation of Hypersonic Flows on Unstructured Grids

2008 ◽  
Author(s):  
Hong Luo ◽  
Jack Edwards ◽  
Jeffery White
Keyword(s):  
Unstructured Grids ◽  
Hypersonic Flows

Spectroholoellipsometer with Light Scattering and Reflecting From the Optically Uniaxial Two-Dimension Crystal

2013 ◽  
Vol 2 (4) ◽  
pp. 95-107
Author(s):  
M. Ali ◽  
◽  
A. P. Kiryanov ◽  
V. I. Kovalev ◽  
V. I. Pustovoit ◽  
...  
Keyword(s):  
Light Scattering ◽  
Two Dimension

Two-Dimension Fourier Transformation in Selective Radiofrequency Pulse NMR Experiments

2016 ◽  
Vol 5 (5) ◽  
pp. 107-115
Author(s):  
M.G. Morozov ◽  
◽  
Yu.E. Chennysh ◽  
Keyword(s):  
Fourier Transformation ◽  
Two Dimension ◽  
Radiofrequency Pulse

PARALLEL SOLVER FOR THE SIMULATIONS OF DETONATION WAVES ON UNSTRUCTURED GRIDS

2020 ◽  
Author(s):  
A. I. Lopato ◽  
◽  
A. G. Eremenko ◽  
Keyword(s):  
Chemical Kinetics ◽  
Numerical Scheme ◽  
Unstructured Grids ◽  
Numerical Study ◽  
Numerical Approach ◽  
Detonation Waves ◽  
Detailed Chemical Kinetics ◽  
Parallel Solver ◽  
Further Development ◽  
Detailed Chemical

Recently, we developed a numerical approach for the simulation of detonation waves on fully unstructured grids and applied it to the numerical study of the mechanisms of detonation initiation in multifocusing systems. Current work is devoted to further development of our numerical approach, namely, parallelization of the numerical scheme and introduction of more comprehensive detailed chemical kinetics scheme.

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